Analysis of Noise-Induced Chaos-Order Transitions in Rulkov Model Near Crisis Bifurcations / Bashkirtseva Irina,Ryashko Lev // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2017. - V. 27, l. 3.

ISSN/EISSN:

0218-1274 / 1793-6551

Type:

Article

Abstract:

Noise-induced transitions from chaos to order in nonlinear systems with crisis bifurcations are studied. In this study, a discrete-time Rulkov system is used as a conceptual model of the neuronal activity. We investigate probabilistic mechanisms of noise-induced transitions from chaotic spiking to quiescence in zones of crisis bifurcations. To analyze these transitions parametrically, we apply a mathematical technique based on the stochastic sensitivity functions and confidence domains. A stochastic phenomenon of the shifts of crisis bifurcation points and the expansion of the order window under increasing noise is discussed and analyzed. Using our analytical approach, we construct a parametric description of chaotic and regular regimes for the randomly forced Rulkov model.

Author keywords:

Rulkov model; crisis bifurcation; stochastic sensitivity; noise-induced transitions; bifurcations; noise-induced ordering MULTISTABILITY; INTERMITTENCY

DOI:

10.1142/S0218127417300142

Web of Science ID:

ISI:000399165800004

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAR
Publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
Address	5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language	English
Article-Number	1730014
EISSN	1793-6551
Keywords-Plus	MULTISTABILITY; INTERMITTENCY
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	Irina.Bashkirtseva@urfu.ru Lev.Ryashko@urfu.ru
Funding-Acknowledgement	Russian Science Foundation {[}N 16-11-10098]
Funding-Text	The work was supported by Russian Science Foundation (N 16-11-10098).
Number-of-Cited-References	24
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Journal-ISO	Int. J. Bifurcation Chaos
Doc-Delivery-Number	ER9SB